Abstract

There are numerous articles dealing with first and second order differential inequalities and differential subordinations and only three articles which are related to third order differential inequalities and subordinations. In this paper we generalise these inequalities for $\mathcal{N}$-th order differential inequalities for functions belonging to class of analytic functions $f$ such that $f(0)=0.$

Keywords and Phrases

Subordination, Differential subordination, Differential inequality, Maximum modulus.

A.M.S. subject classification

30C45, 30C80.

.....